(a) Graph the feasible region given by the following constraints: x+y 28, 5x + 3y ≥ 30, x ≥ 0, y≥0 (b) Identify the corners of the feasible region. (c) Find the minimum value of the objective function z = 2x + 3y subject to the constraints in part (a). (d) What are the values of x and y when the objective function reaches its minimum value?

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